We're dividing 100253 by 53 
Our goal is to divide 100253 by 53.

Going ahead to step 1:
When dividing 1 by 53, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 53

Let's proceed to step 2:
53 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 53

Advancing to step 3:
53 can be fit into 100 1 times, resulting in a remainder of 47.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 53 from 100 leaves us with 47.
Append the next digit (2) from the dividend to 47 and continue with: 472 / 53

Moving on to step 4:
53 can be fit into 472 8 times, resulting in a remainder of 48.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
The remainder is 48 after subtracting 424 from 472.
Bring next digit (5) of the dividend behind the 48 and repeat the process: 485 / 53

Advancing to step 5:
When dividing 485 by 53, we get 9 with a remainder of 8.
The next digit of our result is 9. 
Result so far: 189.0
If we subtract 477 from 485, we get 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 53

Step 6:
The number 53 fits into 83 1 times, leaving a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 1891.0
Subtract 53 from 83 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
53 goes into 300 5 times with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 1891.5
Subtracting 265 from 300 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
When dividing 350 by 53, we get 6 with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 1891.56
Subtract 318 from 350 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 9:
53 goes into 320 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 1891.566
Subtract 318 from 320 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 1891.566, and the remainder is 0.0002.